540312162001 has 8 divisors (see below), whose sum is σ = 572847011784. Its totient is φ = 507860843520.

The previous prime is 540312161959. The next prime is 540312162037. The reversal of 540312162001 is 100261213045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4193857600 + 536118304401 = 64760^2 + 732201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540312162001 - 2³¹ = 538164678353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540312162101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20869500 + ... + 20895373.

It is an arithmetic number, because the mean of its divisors is an integer number (71605876473).

Almost surely, 2^540312162001 is an apocalyptic number.

It is an amenable number.

540312162001 is a deficient number, since it is larger than the sum of its proper divisors (32534849783).

540312162001 is a wasteful number, since it uses less digits than its factorization.

540312162001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41765651.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 540312162001 its reverse (100261213045), we get a palindrome (640573375046).

The spelling of 540312162001 in words is "five hundred forty billion, three hundred twelve million, one hundred sixty-two thousand, one".